135623667731552 has 288 divisors, whose sum is σ = 361349687688192. Its totient is φ = 48757915008000.

The previous prime is 135623667731549. The next prime is 135623667731579. The reversal of 135623667731552 is 255137766326531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983345477 + ... + 983483387.

It is an arithmetic number, because the mean of its divisors is an integer number (1254686415584).

Almost surely, 2^{135623667731552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135623667731552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180674843844096).

135623667731552 is an abundant number, since it is smaller than the sum of its proper divisors (225726019956640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135623667731552 is a wasteful number, since it uses less digits than its factorization.

135623667731552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140754 (or 140735 counting only the distinct ones).

The product of its digits is 142884000, while the sum is 62.

The spelling of 135623667731552 in words is "one hundred thirty-five trillion, six hundred twenty-three billion, six hundred sixty-seven million, seven hundred thirty-one thousand, five hundred fifty-two".